131012224040191 has 16 divisors (see below), whose sum is σ = 142090229313760. Its totient is φ = 120079174412160.

The previous prime is 131012224040177. The next prime is 131012224040197. The reversal of 131012224040191 is 191040422210131.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131012224040191 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012224040197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41783136 + ... + 44809093.

It is an arithmetic number, because the mean of its divisors is an integer number (8880639332110).

Almost surely, 2^{131012224040191} is an apocalyptic number.

131012224040191 is a deficient number, since it is larger than the sum of its proper divisors (11078005273569).

131012224040191 is a wasteful number, since it uses less digits than its factorization.

131012224040191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86593066.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 131012224040191 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, forty thousand, one hundred ninety-one".